scholarly journals Phase Diagram, Scalar-Pseudoscalar Meson Behavior and Restoration of Symmetries in (2 + 1) Polyakov-Nambu-Jona-Lasinio Model

Symmetry ◽  
2019 ◽  
Vol 11 (4) ◽  
pp. 507 ◽  
Author(s):  
Pedro Costa ◽  
Renan Pereira
Keyword(s):  
Phase Diagram ◽  
Chiral Symmetry ◽  
Pseudoscalar Meson ◽  
Dense Medium ◽  
Experimental Search ◽  
End Point

We explore the phase diagram and the modification of mesonic observables in a hot and dense medium using the (2 + 1) Polyakov-Nambu-Jona-Lasinio model. We present the phase diagram in the ( T , μ B ) -plane, with its isentropic trajectories, paying special attention to the chiral critical end point (CEP). Chiral and deconfinement transitions are examined. The modifications of mesonic observables in the medium are explored as a tool to analyze the effective restoration of chiral symmetry for different regions of the phase diagram. It is shown that the meson masses, namely that of the kaons, change abruptly near the CEP, which can be relevant for its experimental search.

scholarly journals QCD phase diagram from chiral symmetry restoration: analytic approach at high and low temperature using the Linear Sigma Model with Quarks

2018 ◽  
Vol 64 (3) ◽  
pp. 302 ◽  
Author(s):  
Luis Hernandez ◽  
Alejandro Ayala ◽  
Saul Hernandez-Ortiz
Keyword(s):  
Phase Diagram ◽  
Chiral Symmetry ◽  
Low Temperatures ◽  
Sigma Model ◽  
Chemical Potential ◽  
Linear Sigma Model ◽  
Transition Line ◽  
Chiral Symmetry Restoration ◽  
Qcd Phase Diagram ◽  
End Point

We use the linear sigma model with quarks to study the QCD phase diagram from the point of view of chiral symmetry restoration. We compute the leading order effective potential for high and low temperatures and finite quark chemical potential, up to the contribution of the ring diagrams to account for the plasma screening effects. We fix the values of the model couplings using physical values for the input parameters such as  the vacuum pion and sigma masses, the critical temperature at vanishing quark chemical potential and the conjectured end point value of the baryon chemical potential of the transition line at vanishing temperature. We find that the critical end point (CEP) is located at low temperatures and high quark chemical potentials $(\mu^{\text{CEP}}>320\ {\mbox{MeV}},T^{\text{CEP}}<40\ {\mbox{MeV}})$.

scholarly journals COMPACT STARS IN HADRON AND QUARK-HADRON MODELS

2010 ◽  
Vol 19 (08n10) ◽  
pp. 1455-1462 ◽  
Author(s):  
S. SCHRAMM ◽  
V. A. DEXHEIMER
Keyword(s):  
Phase Diagram ◽  
Neutron Star ◽  
Chiral Symmetry ◽  
Degrees Of Freedom ◽  
Dense Matter ◽  
Compact Stars ◽  
Chiral Symmetry Restoration ◽  
Hybrid Star ◽  
Nonlinear Realization ◽  
Model Approach

We investigate strongly interacting dense matter and neutron stars using a flavor-SU(3) approach based on a nonlinear realization of chiral symmetry. We study chiral symmetry restoration and the equation of state of stellar matter and determine neutron star properties using different sets of degrees of freedom. Finally, we include quarks in the model approach. We show the resulting phase diagram as well as hybrid star solutions for this model.

Phase diagram and critical end point in nonlocal PNJL models with wavefunction renormalization

2010 ◽  
Author(s):  
Gustavo A. Contrera ◽  
Milva G. Orsaria ◽  
Norberto N. Scoccola ◽  
Marina Nielsen ◽  
Fernando S. Navarra ◽  
...  
Keyword(s):  
Phase Diagram ◽  
End Point ◽  
Wavefunction Renormalization

scholarly journals SYMMETRIES IN THE GROSS-NEVEU PHASE DIAGRAM

2010 ◽  
Vol 25 (02n03) ◽  
pp. 616-626 ◽  
Author(s):  
GERALD V. DUNNE
Keyword(s):  
Phase Diagram ◽  
Chiral Symmetry ◽  
Nonlinear Equations ◽  
Chemical Potential ◽  
Ginzburg Landau ◽  
Akns Hierarchy ◽  
Gap Equation ◽  
Gross Neveu Model

The existence of crystalline condensates in the temperature and chemical potential phase diagram of the Gross-Neveu models can be traced to intricate symmetries of the associated inhomogeneous gap equation. The gap equation based on the Ginzburg-Landau expansion is precisely the mKdV or AKNS hierarchy of integrable nonlinear equations for the Gross-Neveu model with discrete or continuous chiral symmetry, respectively. The former model also has a dense-dilute symmetry that is due to the energy-reflection duality of the underlying quasi-exactly soluble spectral operators.

scholarly journals Effects of Superstatistics on the Location of the Effective QCD Critical End Point

2019 ◽  
Vol 64 (8) ◽  
pp. 665
Author(s):  
A. Ayala ◽  
M. Hentschinski ◽  
L. A. Hernández ◽  
M. Loewe ◽  
R. Zamora
Keyword(s):  
Phase Diagram ◽  
Chemical Potential ◽  
Heavy Ion ◽  
Relativistic Heavy Ion Collisions ◽  
Chiral Symmetry Restoration ◽  
Interaction Volume ◽  
Qcd Phase Diagram ◽  
End Point ◽  
Ion Collisions ◽  
Effective Description

Effects of the partial thermalization during the chiral symmetry restoration at the finite temperature and quark chemical potential are considered for the position of the critical end point in an effective description of the QCD phase diagram. We find that these effects cause the critical end point to be displaced toward larger values of the temperature and lower values of the quark chemical potential, as compared to the case where the system can be regarded as completely thermalized. These effects may be important for relativistic heavy ion collisions, where the number of subsystems making up the whole interaction volume can be linked to the finite number of participants in the reaction.

scholarly journals Influence of the Effective Potential on the Crossover Width in the Two Flavor Polyakov-Nambu-Jona-Lasinio Model

2020 ◽  
Vol 2020 ◽  
pp. 1-14
Author(s):  
E. Valbuena-Ordóñez ◽  
N. B. Mata-Carrizal ◽  
A. J. Garza-Aguirre ◽  
J. R. Morones-Ibarra
Keyword(s):  
Phase Diagram ◽  
Phase Diagrams ◽  
Effective Potential ◽  
Crossover Region ◽  
Effective Potentials ◽  
End Point ◽  
Strongly Interacting ◽  
Njl Model ◽  
Matter Phase

We study the strongly interacting matter phase diagram on the T−μ plane through the two flavor Polyakov extended NJL model. We compare the phase diagrams obtained from three different effective potentials, focusing on the behavior of the width of the crossover region and the critical end point for each case. We describe various susceptibilities to obtain the chiral crossover and the color deconfinement crossover.

Sign in / Sign up

Export Citation Format

Share Document